<HashMap><database>biostudies-literature</database><scores/><additional><omics_type>Unknown</omics_type><volume>10(10)</volume><submitter>Stotzel C</submitter><pubmed_abstract>In this paper, we present a systematic transition scheme for a large class of ordinary differential equations (ODEs) into Boolean networks. Our transition scheme can be applied to any system of ODEs whose right hand sides can be written as sums and products of monotone functions. It performs an Euler-like step which uses the signs of the right hand sides to obtain the Boolean update functions for every variable of the corresponding discrete model. The discrete model can, on one hand, be considered as another representation of the biological system or, alternatively, it can be used to further the analysis of the original ODE model. Since the generic transformation method does not guarantee any property conservation, a subsequent validation step is required. Depending on the purpose of the m</pubmed_abstract><journal>PloS one</journal><pagination>e0140954</pagination><full_dataset_link>https://www.ebi.ac.uk/biostudies/studies/S-EPMC4619740</full_dataset_link><repository>biostudies-literature</repository><pubmed_title>Complementing ODE-Based System Analysis Using Boolean Networks Derived from an Euler-Like Transformation.</pubmed_title><pmcid>PMC4619740</pmcid><pubmed_authors>Roblitz S</pubmed_authors><pubmed_authors>Stotzel C</pubmed_authors><pubmed_authors>Siebert H</pubmed_authors></additional><is_claimable>false</is_claimable><name>Complementing ODE-Based System Analysis Using Boolean Networks Derived from an Euler-Like Transformation.</name><description>In this paper, we present a systematic transition scheme for a large class of ordinary differential equations (ODEs) into Boolean networks. Our transition scheme can be applied to any system of ODEs whose right hand sides can be written as sums and products of monotone functions. It performs an Euler-like step which uses the signs of the right hand sides to obtain the Boolean update functions for every variable of the corresponding discrete model. The discrete model can, on one hand, be considered as another representation of the biological system or, alternatively, it can be used to further the analysis of the original ODE model. Since the generic transformation method does not guarantee any property conservation, a subsequent validation step is required. Depending on the purpose of the m</description><dates><release>2015-01-01T00:00:00Z</release><publication>2015</publication><modification>2025-04-19T06:13:34.224Z</modification><creation>2019-03-26T23:28:02Z</creation></dates><accession>S-EPMC4619740</accession><cross_references><pubmed>26496494</pubmed><doi>10.1371/journal.pone.0140954</doi></cross_references></HashMap>